Interactive programming with dependent types

Abstract

In dependently typed languages run-time values can appear in types, making it possible to give programs more precise types than in languages without dependent types. This can range from keeping track of simple invariants like the length of a list, to full functional correctness. In addition to having some correctness guarantees on the final program, assigning more precise types to programs means that you can get more assistance from the type checker while writing them. This is what I focus on here, demonstrating how the programming environment of Agda can help you when developing dependently typed programs.